A025899 - OEIS

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A025899

Expansion of 1/((1-x^6)*(1-x^7)*(1-x^10)).

1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 4, 3, 4, 3, 4, 3, 4, 4, 5, 4, 5, 4, 5, 4, 6, 5, 6, 5, 6, 5, 7, 6, 7, 6, 7, 6, 8, 7, 8, 7, 9, 7, 9, 8, 9, 8, 10, 9, 10, 9

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,21

COMMENTS

a(n) is the number of partitions of n into parts 6, 7, and 10. - Joerg Arndt, Jan 23 2024

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..5000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1,1,0,0,1,0,0,-1,0,0,-1,-1,0,0,0,0,0,1).

MATHEMATICA

CoefficientList[Series[1/((1-x^6)(1-x^7)(1-x^10)), {x, 0, 100}], x](* Harvey P. Dale, Jul 20 2021 *)

PROG

(Magma) R<x>:=PowerSeriesRing(Integers(), 100); Coefficients(R!( 1/((1-x^6)*(1-x^7)*(1-x^(10))) )); // G. C. Greubel, Jan 23 2024